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This book helps strengthen your knowledge of the basic theory and practical applications of Hilbert Transformations (HT). It presents a first-ever detailed analysis of the complex notation of 2-D and 3-D signals and describes how you can apply this notation to image processing, modulation, and other fields. Six ground-breaking chapters, with extensive data tables and listings of HT properties help you significantly reduce literature research time, better enable you to simulate signals and communication systems, and assist you in designing compatible single-sideband systems. Replete with 162 line drawings and more than 1,000 equations, the book is essential reading for electrical engineers and researchers working in signal processing for communications and image processing, and post-graduate students.
Table Of Contents
Theory of the One-Dimensional Hilbert Transformation. Properties of the Hilbert Transformation - Derivations and Applications. Distributions in the Theory of the Hilbert Transformation and Complex Signals. The Discrete Hilbert Transformation. Hilbert Transformers. The Hilbert Transform in Modulation, Signal and System Theory. Multidimensional Complex Signals and Applications. Multidimensional Hilbert and Fourier Transformations. Tables. References. Appendices.